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Finding the Third Proportional to 216,570 and 521,739

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Solution

The third proportional to 216,570 and 521,739 is: 1,256,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570 : 521,739 = 521,739 : x
  2. Step 2: Convert to fraction form
    216,570/521,739 = 521,739/x
  3. Step 3: Cross multiply
    216,570x = 521,739 × 521,739
  4. Step 4: Simplify right side
    216,570x = 272,211,584,121
  5. Step 5: Solve for x
    x = 272,211,584,121/216,570
  6. Step 6: Final answer
    x = 1,256,921.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.